Solutions to the (4+1)-Dimensional Time-Fractional Fokas Equation with M-Truncated Derivative

被引：33

作者：

Mohammed, Wael W. ^{[1
,2
]}

Cesarano, Clemente ^{[3
]}

Al-Askar, Farah M. ^{[4
]}

机构：

[1] Univ Hail, Fac Sci, Dept Math, Hail 2440, Saudi Arabia

[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

[3] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele II,39, I-00186 Rome, Italy

[4] Princess Nourah Bint Abdulrahman Univ, Dept Math Sci, Coll Sci, POB 84428, Riyadh 11671, Saudi Arabia

来源：

MATHEMATICS | 2023年 / 11卷 / 01期

关键词：

fractional Fokas; Jacobi elliptic function method; extended tanh-coth method; TRAVELING-WAVE SOLUTIONS; SYMMETRY;

D O I：

10.3390/math11010194

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the (4+1)-dimensional fractional Fokas equation (FFE) with an M-truncated derivative. The extended tanh-coth method and the Jacobi elliptic function method are utilized to attain new hyperbolic, trigonometric, elliptic, and rational fractional solutions. In addition, we generalize some previous results. The acquired solutions are beneficial in analyzing definite intriguing physical phenomena because the FFE equation is crucial for explaining various phenomena in optics, fluid mechanics and ocean engineering. To demonstrate how the M-truncated derivative affects the analytical solutions of the FFE, we simulate our figures in MATLAB and show several 2D and 3D graphs.

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页数：13

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